When the coupled system is composed of identical mappings, \(f_i = f\;\forall \,i\) , \(s_t = x_t^{(1)} = \dots = x_t^{(N)}\)  is a solution of Eq. (REF ) because of the zero-row-sum property of \(\mathbf {L}\)  (i.e., \(\sum _j L_{ij} = 0\;\forall \,i\) ). This solution defines the complete synchronisation (CS) manifold, whose linear stability is determined by the Master Stability Function (MSF) [1]}. Specifically, the stability is quantified by the Lyapunov exponents transverse to the synchronisation manifold, which are known as Conditional Lyapunov Exponents (CLE), \(\chi \) , because their validity is restricted to the diagonal of the \(N\) -dimensional state-space.
